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Comparison Theorems in Riemannian Geometry
About this Title
Jeff Cheeger, New York University - Courant Institute, New York, NY and David G. Ebin, State University of New York at Stony Brook, Stony Brook, NY
Publication: AMS Chelsea Publishing
Publication Year:
1975; Volume 365
ISBNs: 978-0-8218-4417-5 (print); 978-1-4704-3121-1 (online)
DOI: https://doi.org/10.1090/chel/365
Table of Contents
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Front/Back Matter
Chapters
- Chapter 1. Basic concepts and results
- Chapter 2. Toponogov’s theorem
- Chapter 3. Homogeneous spaces
- Chapter 4. Morse theory
- Chapter 5. Closed geodesics and the cut locus
- Chapter 6. The sphere theorem and its generalizations
- Chapter 7. The differentiable sphere theorem
- Chapter 8. Complete manifolds of nonnegative curvature
- Chapter 9. Compact manifolds of nonpositive curvature